Question

If xy=180 and LCM(x,y)=60, then find the HCF(x,y).



MATHS
CLASS10​

Answer 1

Answer:

HCF(x,y) = 3

Step-by-step explanation:

Product of the HCF and LCM of two numbers is equal to the Product of the two numbers

Given product of numbers x and y = 180

LCM(x,y) = 60

HCF(x,y) = ?

$HCF(x,y) \times LCM(x,y) = x \times y \\ HCF(x,y) \times 60 = 180 \\ HCF(x,y) = \frac{180}{60} \\ HCF(x,y) = 3$